Some new balanced and almost balanced quaternary sequences with low autocorrelation

Michel, Jerod; Wang, Qi

2019-03

10.1007/s12095-018-0281-x

Cryptography and Communications-Discrete-Structures Boolean Functions and Sequences   影响因子和分区

1936-2447

1936-2455

Quaternary sequences of both even and odd period having low autocorrelation are studied. We construct new families of balanced quaternary sequences of odd period and low autocorrelation using cyclotomic classes of order eight, as well as investigate the linear complexity of some known quaternary sequences of odd period. We discuss a construction given by Chung et al. in New Quaternary Sequences with Even Period and Three-Valued Autocorrelation (IEICE Trans. Fundam. Electron. Commun. Comput. Sci. E93-A(1), 309-315 2010) first by pointing out a slight modification and then by showing that, in certain cases, this slight modification generalizes the construction given by Shen et al. in New Families of Balanced Quaternary Sequences of Even Period with Three-level Optimal Autocorrelation (IEEE Commun. Lett. 2017(10), 2146-2149 2017). We investigate the linear complexity of these sequences as well.

Periodic sequence Quaternary sequence Periodic autocorrelation Linear complexity

SCI ; EI

英语

第一 ; 通讯

National Natural Science Foundation of China[11601220] ; National Natural Science Foundation of China[61672015]

Computer Science ; Mathematics

Computer Science, Theory & Methods ; Mathematics, Applied

WOS:000462209100004

SPRINGER

20191306685485

Autocorrelation

Information Theory and Signal Processing:716.1 ; Mathematics:921

Web of Science

Southern Univ Sci & Technol, Dept Comp Sci & Engn, Shenzhen 518055, Peoples R China

Michel, Jerod,Wang, Qi. Some new balanced and almost balanced quaternary sequences with low autocorrelation[J]. Cryptography and Communications-Discrete-Structures Boolean Functions and Sequences,2019,11(2):191-206.

Michel, Jerod,&Wang, Qi.(2019).Some new balanced and almost balanced quaternary sequences with low autocorrelation.Cryptography and Communications-Discrete-Structures Boolean Functions and Sequences,11(2),191-206.

Michel, Jerod,et al."Some new balanced and almost balanced quaternary sequences with low autocorrelation".Cryptography and Communications-Discrete-Structures Boolean Functions and Sequences 11.2(2019):191-206.